The figure is made up of identical quadrants. The radius is 24 cm long. Take π as 3.14.
- Find the area of the shaded part.
- Find the perimeter of the shaded part.
(a)
Area of one circle
= 3.14 x 24 x 24
= 1808.64 cm
2 Area of
12 shaded leaf
= (1808.64 ÷ 4) - (
12 x 24 x 24)
= 164.16 cm
2 Area of four
12 shaded leaf
= 164.16 x 4
= 656.64 cm
2 Area of the shaded part
= 1808.64 + 656.64
= 2465.28 cm
2 (b)
Length of combined curved lines
= 3.14 x 24 x 2 x 2
= 301.44 cm
Length of 12 straight lines
= 24 x 12
= 288 cm
Perimeter of the shaded part
= 301.44 + 288
= 589.44 cm
Answer(s): (a) 2465.28 cm
2; (b) 589.44 cm